On the optical soliton solution to the (1+1)− dimensional perturbed NLSE in optical nano-fibers

Optik ◽  
2021 ◽  
pp. 168233
Author(s):  
Muslum Ozisik
Keyword(s):  
Soliton Solution ◽  
Optical Soliton

scholarly journals Some analytical solutions by mapping methods for non-linear conformable time-fractional PHI-4 equation

2019 ◽  
Vol 23 (Suppl. 6) ◽  
pp. 1815-1822 ◽  
Author(s):  
Zeliha Korpinar
Keyword(s):  
Fractional Derivative ◽  
Periodic Solutions ◽  
Soliton Solution ◽  
Analytical Solutions ◽  
Soliton Solutions ◽  
Elliptic Functions ◽  
Dark Soliton ◽  
Optical Soliton ◽  
Conformable Fractional Derivative ◽  
Singular Soliton

In this paper, the practice of two types of mapping methods are used to solve the time fractional Phi-4 equation by means of conformable fractional derivative. The solutions are derived using Jacobi?s elliptic functions for two different value of the modulus and are obtained the some soliton solutions. The found solutions are iden?tified bright optical soliton, dark soliton, singular soliton, combo soliton solution, and periodic solutions.

OPTICAL SOLITON SOLUTIONS OF THE LONG-SHORT-WAVE INTERACTION SYSTEM

2013 ◽  
Vol 22 (02) ◽  
pp. 1350015 ◽  
Author(s):  
AHMET BEKIR ◽  
ESIN AKSOY ◽  
ÖZKAN GÜNER
Keyword(s):  
Soliton Solution ◽  
Function Method ◽  
Soliton Solutions ◽  
Wave Interaction ◽  
Short Wave ◽  
Optical Soliton ◽  
Physical Parameters ◽  
Ansatz Method ◽  
Topological Soliton ◽  
Dependent Model

This paper, studies the long-short-wave interaction (LS) equation. An optical soliton solution is obtained by the exp-function method and the ansatz method. Subsequently, we formally derive the dark (topological) soliton solutions for this equation. By using the exp-function method, some additional solutions will be derived. The physical parameters in the soliton solutions of ansatz method: amplitude, inverse width, and velocity are obtained as functions of the dependent model coefficients.

Structure of optical soliton solution for nonliear resonant space-time Schrödinger equation in conformable sense with full nonlinearity term

2020 ◽  
Vol 95 (10) ◽  
pp. 105215
Author(s):  
Mohammed Alabedalhadi ◽  
Mohammed Al-Smadi ◽  
Shrideh Al-Omari ◽  
Dumitru Baleanu ◽  
Shaher Momani
Keyword(s):  
Schrödinger Equation ◽  
Soliton Solution ◽  
Schrodinger Equation ◽  
Space Time ◽  
Optical Soliton ◽  
Full Nonlinearity

scholarly journals Dark soliton solutions to (2 + 1)-dimensional Kundu-Mukherjee-Naskar equation via the first integral method

2020 ◽  
Vol 8 (2) ◽  
pp. 40
Author(s):  
Salam Subhaschandra Singh
Keyword(s):  
Soliton Solution ◽  
Integral Method ◽  
Soliton Solutions ◽  
First Integral ◽  
Dark Soliton ◽  
Optical Soliton ◽  
Nls Equation ◽  
First Integral Method ◽  
Nonlinear Schrödinger ◽  
Trigonometric Solution

 In the present work, the First Integral Method is being applied in finding a non-soliton as well as a soliton solution of the ( 2 + 1 ) dimensional Kundu-Mukherjee-Naskar (KMN) equation which is a variant of the well-known Nonlinear Schrodinger ( NLS ) equation. Using the method, a dark optical soliton solution and a periodic trigonometric solution to the KMN equation have been suggested and the relevant conditions which guarantee the existence of such solutions are also indicated therein.  

Oblique optical solutions of mitigating internet bottleneck with quadratic-cubic nonlinearity

2019 ◽  
Vol 33 (20) ◽  
pp. 1950224 ◽  
Author(s):  
Behzad Ghanbari ◽  
Ahmet Bekir ◽  
Rostam K. Saeed
Keyword(s):  
Rational Function ◽  
Soliton Solution ◽  
Analytical Solutions ◽  
Function Method ◽  
Telecommunications Industry ◽  
Internet Traffic ◽  
Optical Soliton ◽  
Integration Scheme ◽  
Cubic Nonlinearity ◽  
Exponential Rational Function Method

By using the generalized exponential rational function method, we construct the analytical solutions of the mitigating internet bottleneck with quadratic-cubic nonlinearity involving the [Formula: see text]-derivative. This equation is described to control internet traffic. A number of new optical soliton solution for them are calculated. Oblique optical solutions also emerge as a product of this integration scheme. The results are applicable to mitigate Internet bottleneck, which is a growing problem in the telecommunications industry.

Integrable Models

2018 ◽  
Author(s):  
S. G. Rajeev
Keyword(s):  
Fluid Mechanics ◽  
Soliton Solution ◽  
Water Waves ◽  
Heisenberg Model ◽  
Kdv Equation ◽  
Short Review ◽  
Lax Pair ◽  
Shallow Water Waves ◽  
Initial Value ◽  
The Kdv Equation

Some exceptional situations in fluid mechanics can be modeled by equations that are analytically solvable. The most famous example is the Korteweg–de Vries (KdV) equation for shallow water waves in a channel. The exact soliton solution of this equation is derived. The Lax pair formalism for solving the general initial value problem is outlined. Two hamiltonian formalisms for the KdV equation (Fadeev–Zakharov and Magri) are explained. Then a short review of the geometry of curves (Frenet–Serret equations) is given. They are used to derive a remarkably simple equation for the propagation of a kink along a vortex filament. This equation of Hasimoto has surprising connections to the nonlinear Schrödinger equation and to the Heisenberg model of ferromagnetism. An exact soliton solution is found.

scholarly journals Optical soliton molecular complexes in a passively mode-locked fibre laser

2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Z. Q. Wang ◽  
K. Nithyanandan ◽  
A. Coillet ◽  
P. Tchofo-Dinda ◽  
Ph. Grelu
Keyword(s):  
Molecular Complexes ◽  
Optical Soliton ◽  
Fibre Laser
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